How to bridge edges without creating a twist?
With those faces selected use ctrl-n to activate the Make Normals Consistent operator.  If their orientation afterwards is not to your liking, use the Inside checkbox in the operator options panel to flip them.  If you can't find that checkbox, go ahead and use the Flip Normals operator in the Mesh > Normals menu.

If this does not work, then the face sets probably do not share an edge.  Maybe the Remove Doubles operator will fix that problem.  Or you could just select the normals that are facing the wrong way and use Flip Normals on them alone.